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from Part I - General Properties of Fields; Scalars and Gauge Fields
Published online by Cambridge University Press: 04 March 2019
In this chapter we consider the examples of the simplest and most common non-Abelian groups, the rotation group SO(3) and the group SU(2). After characterizing them and their representations, we show the equivalence of the two groups in Lie algebra, and the fact that SU(2) is a double cover of SO(3). We also present invariant Lagrangians for the two groups.
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